Instructor: Dr.
Dashun Xu
Office: 273 Neckers
Hall A Wing
Office Hours: MWF 11am12:20pm, TTh
1:502:50pm or by appointment
Email: dashunxu@.siu.edu Phone: 4536598
Text Books:
1.
Elementary Differential
Equations and Boundary Value Problems, 10th Ed., by Boyce and DiPrima.
2.
Differential Equations with Matlab, 2^{nd} Ed., by B. R. Hunt, R.
L. Lipsman, J. E. Osborn, J. M. Rosenberg
Coverage:
Chapter
7, 9 of Textbook 1. If possible, some applications in Mathematical
Biology will be included.
Some MATLAB
Resources
Exams
One midterm
and one comprehensive final exams.
Grading Policy:
Your course grade will be
computed as follows:
50% from homework, MATLAB
projects and quizzes, 50% from the midterm exam and the final
(25% each).
Letter
grades will then be assigned according to the scale:
A,
10090; B, 8980; C, 7970; D, 6960; F, below 59.
Homework and
Projects:
All
assignments will be collected every Friday in class and only a few
questions in each assignment will be graded. Late homework and projects
will not be accepted.
Date

Homework

Due Day

Week 1

Review basic concepts
and methods from Math 305
Review of
integration and Key to the practicing problems
Examples for separable
equations, exact equations and drawing phase lines
Matlab homework


Week 2

M: 7.1: 3, 6, 8
(please take a look at 7), 16, together with either the set of 17, 18
or the set of 19, 20.
M: 7.1, WF: 7.2

Homework for 7.1
and Matlab homework due
this Fri.
Seems
that Matlab changed a little bit. So,
please change the problem 7 for Mathlab
homework into
Y’= t^2/ (1+y)




Week 3

W 7.2; F 7.3;

No homework due
this week

Week 4

7.2: 4, 8, 11, 16,
22, 25,
7.3: 1, 2, 3, 5; Check the dependence of
the vectors given in 7, 8, 9;;
MWF 7.3

Due on Fri.

Week 5

7:3: 15, 18, 21,
24
7.4: 5, 2(a,b,c), 3,
optional: 4, 8.

Due on Fri.

Week 6

7.5: Find the general
solution for 1, 3, 5
Matlab: draw direction fields for 1,3,5 using computer, and sketch a few trajectories
by computer or hand in your direction fields.
MWF 7.47.5

Due on Next Mon
for Week 6 homework.

Week 7

7.5: 7, 11, 15,
17,
Draw direction
field for 7 using Matlab and then on top of
it, draw a phase portrait for the system.
MWF 7.5

Due on Fri.

Week 8

7.5: 24, 25, 27;
optional: 19, 21, 28
Find the general
solutions, sketch phase portrait and Matlab:
direction field for 7.6: 2, 3, 11
Find the general
solution for
7.6: 7, 9,
MWF 7.6

Due on Fri!!!

Week 9

7.6: 13,15, 17
7.7: 1, 3, 5, 9,
11

homework
due on Fri！

Week 10

7.8: find the
general solution and use Matlab draw the direction
field for 1, 3
7.8: Sketch the
phase portraits of 1,3 (Please check the direction fields you got )
7.8: find the
general solution for 5
7.8: 7(a), 11(a)
A sample
exam

Due on Fri.

Week 11

7.9: 1,7 (using
method of undetermined coefficients, or diagonalization method); 3,5
(variation of parameters); 9 (any method)

After finishing
Chap 7, have the exam.

Currently we are
in Week 12

9.1: 1, 2, 4, 5,
6, 10, 11(only a,b,c for 111), 13, 15

The homework for
9.1 will not be collected.
But I suggest you all try them because they are kind of review
problems for the exam.
Exam on next Mon due to no class
on Fri

Week 13

9.2: 5(a), 6 (a);
15(a),22(a);
Matlab: 9.2: 5 (bc), 6(bc), 15(b), 22(b)
Optional problems
for 9.2, 19(a), 24, 25.


Week 14

9.3: 1, 2, 5(a,b,c), 7(a,b,c), 11(a,b,c)
Matlab: draw the direction fields and then on top
of them sketch phase portraits for 5,7,11(d)


Week 15

Review 9.1 and 9.2, 9.3, midterm
sample and actual exams, plus
Sample
exam and related problems

Final
exam: 10:15—12:15pm, Dec 10, Fri. EGRA 420

Makeup Policy:
Makeup
exams will only be granted to students who have convincing excuses and
have informed me in advance. And proper documentation is needed.
Attendance:
Regular
attendance to the lectures is strongly
advised.
You will be responsible for all the material presented in the class,
regardless of whether or not you were present.
Study Hint:
Find at least one or
two other students from the class with whom you can regularly do
homework and prepare for exams. Your classmates are perhaps the least
used and arguably your best resource. An efficient and effective study
group will streamline homework and study time, reduce the need for
attendance at office hours, and greatly improve your written and spoken
communication. The best time to use your classmates as study/homework
partners is after you have made an honest effort on your own to
solve the problems using your own wits, knowledge, and experience. When
you encounter an unsolvable problem, don't give up too soon on it.
Being stumped is an opportunity for mathematical growth and insight,
even if you never solve the problem on your own. If you seek help
prematurely, you will never know if you could have solved a tough
problem without outside assistance.
Syllabus
Attachment:
https://pvcaa.siu.edu/_common/documents/provostmemos/syllabusattachmentfall2021.pdf.pdf
